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Manipulatives

Physical objects such as counters, cubes or base-ten blocks used to help pupils understand maths ideas.

Used in
All four UK nations (details may differ), United States
Topic
Teaching and learning

Being checked against official sources. This definition is written in our own words; always check the official guidance for your country.

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Concrete pictorial abstract (CPA) All four UK nations (details may differ) International
A maths teaching sequence that moves from physical objects (concrete) to pictures and diagrams (pictorial) to symbols (abstract).

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Definitions are written by Classfern in our own words for teachers in the UK and the US. They are short explanations, not legal or official definitions: always check the official guidance for your country, nation or state. Classfern is not affiliated with or endorsed by any government department, inspectorate or exam board named here.